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A uniform solid sphere of mass m and rad...

A uniform solid sphere of mass `m` and radius `r` is suspended symmetrically by a uniform thin spherical shell of radius `2r` and mass `m`.

A

The gravitational field at a distance of 1.5r from the centre is `(2)/(9)(Gm)/(r^(2))`

B

The gravitational field at a distance of 2.5r from centre is `(8)/(25)(Gm)/(r^(2))`

C

The gravitational field at a distance of 1.5r from centre is zero

D

The gravitational field between the sphere and spherical shell is uniform.

Text Solution

Verified by Experts

The correct Answer is:
B
At distance 2.5 r or `(5)/(2)r`

`E=(G(m+m))/(((5)/(2)r)^(2))=(8Gm)/(25 r^(2))`.
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